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Finding the Third Proportional to 46,171.90 and 99,554.06

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Solution

The third proportional to 46,171.90 and 99,554.06 is: 214,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,171.90 : 99,554.06 = 99,554.06 : x
  2. Step 2: Convert to fraction form
    46,171.90/99,554.06 = 99,554.06/x
  3. Step 3: Cross multiply
    46,171.90x = 99,554.06 × 99,554.06
  4. Step 4: Simplify right side
    46,171.90x = 9,911,011,360.25
  5. Step 5: Solve for x
    x = 9,911,011,360.25/46,171.90
  6. Step 6: Final answer
    x = 214,654.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.